A SURVEY ON SEMI-TENSOR PRODUCT OF MATRICES

Daizhan CHENG;Hongsheng QI;Ancheng XUE

系统科学与复杂性(英文) ›› 2007, Vol. 20 ›› Issue (2) : 304-322.

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系统科学与复杂性(英文) ›› 2007, Vol. 20 ›› Issue (2) : 304-322.
论文

A SURVEY ON SEMI-TENSOR PRODUCT OF MATRICES

    Daizhan CHENG, Hongsheng QI, Ancheng XUE
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A SURVEY ON SEMI-TENSOR PRODUCT OF MATRICES

    Daizhan CHENG, Hongsheng QI, Ancheng XUE
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摘要

Semi-tensor product of matrices is a
generalization of conventional matrix product for the case when the
two factor matrices do not meet the dimension matching condition.
It was firstly proposed about ten years ago. Since then it has
been developed and applied to several different fields. In this
paper we will first give a brief introduction. Then give a survey
on its applications to dynamic systems, to logic, to differential
geometry, to abstract algebra, respectively.

Abstract

Semi-tensor product of matrices is a
generalization of conventional matrix product for the case when the
two factor matrices do not meet the dimension matching condition.
It was firstly proposed about ten years ago. Since then it has
been developed and applied to several different fields. In this
paper we will first give a brief introduction. Then give a survey
on its applications to dynamic systems, to logic, to differential
geometry, to abstract algebra, respectively.

关键词

Abstract algebra / differential geometry / dynamic systems / logic / semi-tensor product

Key words

Abstract algebra / differential geometry / dynamic systems / logic / semi-tensor product

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Daizhan CHENG;Hongsheng QI;Ancheng XUE. A SURVEY ON SEMI-TENSOR PRODUCT OF MATRICES. 系统科学与复杂性(英文), 2007, 20(2): 304-322
Daizhan CHENG;Hongsheng QI;Ancheng XUE. A SURVEY ON SEMI-TENSOR PRODUCT OF MATRICES. Journal of Systems Science and Complexity, 2007, 20(2): 304-322
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